Base | Representation |
---|---|
bin | 111011011111111… |
… | …111111011001001 |
3 | 2120120101001101112 |
4 | 323133333323021 |
5 | 4021022302131 |
6 | 243015500105 |
7 | 33510635324 |
oct | 7337777311 |
9 | 2516331345 |
10 | 998244041 |
11 | 472534583 |
12 | 23a387635 |
13 | 12ba73b62 |
14 | 968117bb |
15 | 5c98602b |
hex | 3b7ffec9 |
998244041 has 2 divisors, whose sum is σ = 998244042. Its totient is φ = 998244040.
The previous prime is 998244001. The next prime is 998244047. The reversal of 998244041 is 140442899.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 998244025 + 16 = 31595^2 + 4^2 .
It is a cyclic number.
It is not a de Polignac number, because 998244041 - 222 = 994049737 is a prime.
It is equal to p50762849 and since 998244041 and 50762849 have the same sum of digits, it is a Honaker prime.
It is a self number, because there is not a number n which added to its sum of digits gives 998244041.
It is not a weakly prime, because it can be changed into another prime (998244047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 499122020 + 499122021.
It is an arithmetic number, because the mean of its divisors is an integer number (499122021).
Almost surely, 2998244041 is an apocalyptic number.
It is an amenable number.
998244041 is a deficient number, since it is larger than the sum of its proper divisors (1).
998244041 is an equidigital number, since it uses as much as digits as its factorization.
998244041 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 82944, while the sum is 41.
The square root of 998244041 is about 31595.0002532046. Note that the first 3 decimals coincide. The cubic root of 998244041 is about 999.4143373996.
The spelling of 998244041 in words is "nine hundred ninety-eight million, two hundred forty-four thousand, forty-one".
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